title: Domain wall and bifurcation analysis of the Klein-Gordon Zakharov equation in (1+2)-dimensions with power law nonlinearity.
abstract: This paper studies the Klein-Gordon Zakharov equation with power law nonlinearity in (1+2)-dimensions. The ansatz method will be applied to obtain the 1-soliton solution, also known as domain wall solution, along with several constraint conditions that naturally fall out. Subsequently, the bifurcation analysis is carried out where the phase portrait is given. Additionally, this analysis leads to several solutions to the equation with the traveling wave scheme. This gives soliton solution as well as singular periodic solutions. Finally, the numerical simulations for the domain wall solution were obtained where the finite difference scheme is applied.
authors.affiliation: Department of Mathematics, Yuxi Normal University, Yuxi 653100, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Song
authors.forename: Bouthina S
authors.initials: BS
authors.lastname: Ahmed
authors.forename: Essaid
authors.initials: E
authors.lastname: Zerrad
authors.forename: Anjan
authors.initials: A
authors.lastname: Biswas
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods; D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods*; D058626:Plasma Gases
chemical_list: D058626:Plasma Gases